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Suppose that X is a Poisson random variable With = 6(a)

Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger ISBN: 9781118539712 55

Solution for problem 96E Chapter 4.7

Applied Statistics and Probability for Engineers | 6th Edition

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Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger

Applied Statistics and Probability for Engineers | 6th Edition

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Problem 96E

Suppose that X is a Poisson random variable With  = 6

(a) Compute the exact probability that X is less than four.

(b) Approximate the probability that X is less than four and compare to the result in part (a).

(c) Approximate the probability that 8 < X < 12.

Step-by-Step Solution:

Step 1 of 4</p>

Given that X is poisson random variable with

The approximation is good when

The X is approximate normal random variable

The mean

And standard deviation

continuity correction will apply that is

                                                       And

Step 2 of 4</p>

a) We have to compute the exact probability that X is less than 4

Exact probability can be obtained from the poisson distribution

                 =

                 =

                 = 0.0025(61)

                 =0.1525

Hence the exact probability that X is less than 4 is 0.1525

Step 3 of 4

Chapter 4.7, Problem 96E is Solved
Step 4 of 4

Textbook: Applied Statistics and Probability for Engineers
Edition: 6
Author: Douglas C. Montgomery, George C. Runger
ISBN: 9781118539712

Since the solution to 96E from 4.7 chapter was answered, more than 251 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Probability, approximate, less, Poisson, compute. This expansive textbook survival guide covers 97 chapters, and 2005 solutions. This textbook survival guide was created for the textbook: Applied Statistics and Probability for Engineers , edition: 6. The full step-by-step solution to problem: 96E from chapter: 4.7 was answered by , our top Statistics solution expert on 07/28/17, 07:57AM. The answer to “Suppose that X is a Poisson random variable With = 6(a) Compute the exact probability that X is less than four.(b) Approximate the probability that X is less than four and compare to the result in part (a).(c) Approximate the probability that 8 < X < 12.” is broken down into a number of easy to follow steps, and 47 words. Applied Statistics and Probability for Engineers was written by and is associated to the ISBN: 9781118539712.

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